I posed this same question here a few months ago, about a bunch of grungy 44-40 I had. Got all the same responses, but the one that made the most sense to me was the fact that the factories all tumble or vibratorialy polish all their finished ammo. So I went ahead and vibrated them overnite and happily sent them all downrange the next day with no ill consequences at all.
I have also read in old loading manuals back to the 60s (I've been at this awhile) NEVER tumble loaded ammo, but the concern stated was that a pointed bullet may fall with enough force to set off a primer.........this too is BS!!
Do not worry about the corrosion on the lead bullet it will not harm your rifle in any way, it is lead oxide and will actually prevent the bullet from leadding your bore and the lube on the bullet under the case mouth will still be intact and will do what it is intended to do.